We look at the division of 91259 by 59 
We're looking to find how many times 59 goes into 91259.

Let's proceed to step 1:
If we divide 9 by 59, we get 0 and a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 59

On to step 2:
91 divided by 59 is 1 with a remainder of 32.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 59 from 91 leaves us with 32.
Bring next digit (2) of the dividend behind the 32 and repeat the process: 322 / 59

Advancing to step 3:
If we divide 322 by 59, we get 5 and a remainder of 27.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
The remainder is 27 after subtracting 295 from 322.
Take the next digit (5) from the dividend and append it to 27, then repeat: 275 / 59

Moving on to step 4:
The number 59 fits into 275 4 times, leaving a remainder of 39.
Record the quotient 4 as the next digit in the result. 
Result so far: 154.0
Subtracting 236 from 275 leaves us with 39.
Take the next digit (9) from the dividend and append it to 39, then repeat: 399 / 59

Let's proceed to step 5:
When dividing 399 by 59, we get 6 with a remainder of 45.
The next digit of our result is 6. 
Result so far: 1546.0
If we subtract 354 from 399, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 6:
59 can be fit into 450 7 times, resulting in a remainder of 37.
Put 7 as the next digit of the answer. 
Result so far: 1546.7
Subtracting 413 from 450 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 7:
370 divided by 59 is 6 with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 1546.76
Subtract 354 from 370 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 8:
59 goes into 160 2 times with a remainder of 42.
The next digit of our result is 2. 
Result so far: 1546.762
Subtract 118 from 160 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 9:
59 goes into 420 7 times with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 1546.7627
The remainder is 7 after subtracting 413 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 10:
59 can be fit into 70 1 times, resulting in a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 1546.76271
Deduct 59 from 70 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 11:
110 divided by 59 is 1 with a remainder of 51.
The next digit of our result is 1. 
Result so far: 1546.762711
Subtracting 59 from 110 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

The final outcome is 1546.762711, with a leftover of 5.1e-06.